2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.DG2025
Shortest Geodesic Loops, Sectional Curvature, and Injectivity Radius of the Stiefel Manifold
Jakob Stoye, Simon Mataigne, P. -A. Absil +1
We determine the length of the shortest nontrivial geodesic loops on the Stiefel manifold endowed with any member of the one-parameter family of Riemannian metrics introduced by Hü…
math.DG2024
The injectivity radius of the compact Stiefel manifold under the Euclidean metric
Ralf Zimmermann, Jakob Stoye
The injectivity radius of a manifold is an important quantity, both from a theoretical point of view and in terms of numerical applications. It is the largest possible radius withi…
math.NA2024★ 2 cited
High curvature means low-rank: On the sectional curvature of Grassmann and Stiefel manifolds and the underlying matrix trace inequalities
Ralf Zimmermann, Jakob Stoye
Methods and algorithms that work with data on nonlinear manifolds are collectively summarized under the term `Riemannian computing'. In practice, curvature can be a key limiting fa…